Least Common Multiple of 706/21, 132/32, 528/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/21, 132/32, 528/881 quickly i.e. 186384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/21, 132/32, 528/881 is 186384.

LCM(706/21, 132/32, 528/881) = 186384

LCM of 706/21, 132/32, 528/881

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 706/21,132/32,528/881

Given numbers are 706/21,132/32,528/881

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 706,132,528

Least Common Multiple of Numerators i.e. LCM of 706,132,528 is 186384.

GCF of Denominators means GCF of 21,32,881 as per the given fractions.

GCF of 21,32,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,132,528

LCM of Fractions 706/21,132/32,528/881 is 186384

2 706, 132, 528
2 353, 66, 264
3 353, 33, 132
11 353, 11, 44
353, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 353 x 1 x 4 = 186384

Least Common Multiple of 706,132,528 with GCF Formula

Least Common Multiple of 706,132,528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 706,132,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,132,528) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(706,132,528) x common factors =2 x 132 = 264

LCM(706,132,528) = ( 706 × 132 × 528 ) / 264

LCM(706,132,528) = 49205376 / 264

LCM(706,132,528) = 186384


Lets's calculate GCF of 21,32,881

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186384/1

Therefore the LCM of Fractions 706/21,132/32,528/881 is 186384

Greatest Common Factor of 21,32,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,32,881 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 21,32,881 . The biggest common factor number is the GCF number.
So the greatest common factor 21,32,881 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 706/21, 132/32, 528/881

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 706/21, 132/32, 528/881?

Answer: LCM of Numerators as per given numbers 706/21, 132/32, 528/881 is

LCM of Numerators i.e. for 706,132,528 is 186384

GCF of denominators i.e. for 21,32,881 is 1.

Thus, LCM of Fractions is 186384.Finally, LCM of Fractions for 706/21, 132/32, 528/881 is 186384.